Thanks for the help and you are right I should have said something like "this is my attempt".

One other thing. I am not familiar with this method of solving diff equations. This problem is supposed to be solved by the use of an integrating factor. Since it is not exact and since the form (Mpartial t - Npartial s)/N and (Mpartial t - Npartial s)/-M do not give functions of either t or s alone then I must use inspection.

I am sorry if I am not making sense because it is only my third week in this class, but is my method of inspection correct? Could someone possibly please help me with the correct method of inspection?